ASYMPTOTIC BEHAVIOR OF THE INDUCTANCE COEFFICIENT FOR THIN CONDUCTORS

Author:

AMIRAT YOUCEF1,TOUZANI RACHID1

Affiliation:

1. Laboratoire de Mathématiques Appliquées, UMR CNRS 6620, Université Blaise Pascal (Clermont–Ferrand), 63177 Aubière Cedex, France

Abstract

We study the asymptotic behavior of the inductance coefficient for a thin toroidal inductor whose thickness depends on a small parameter ε > 0. We give an explicit form of the singular part of the corresponding potential uε which allows to construct the limit potential u (as ε → 0) and an approximation of the inductance coefficient Lε. We establish some estimates of the deviation uε - u and of the error of approximation of the inductance. We show that Lε behaves asymptotically as ln ε, when ε → 0.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

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